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A MODIFIED HORTON EQUATION FOR INFILTRATION DURING INTERMITTENT RAINFALL

Sebastian W. Bauer

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Abstract

A simple infiltration concept based on Horton's infiltration equation has been developed for use in mathematical rainfall-runoff modelling. Horton's infiltration formula is valid only where rainfall intensity at all times exceeds infiltration and, moreover, it does not provide adequately for the handling of a variety of initial soil moisture conditions. In contrast to Horton's concept where infiltration rate is expressed as a decay function of time, the procedure advocated in this paper expresses the infiltration rate as a function of soil moisture storage state. The procedure permits infiltration losses during intermittent rainfall sequences to be evaluated and accommodates a range of initial soil moisture conditions.

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A simple infiltration concept based on Horton's infiltration equation has been developed for use in mathematical rainfall-runoff modelling. Horton's infiltration formula is valid only where rainfall intensity at all times exceeds infiltration and, moreover, it does not provide adequately for the handling of a variety of initial soil moisture conditions. In contrast to Horton's concept where infiltration rate is expressed as a decay function of time, the procedure advocated in this paper expresses the infiltration rate as a function of soil moisture storage state. The procedure permits infiltration losses during intermittent rainfall sequences to be evaluated and accommodates a range of initial soil moisture conditions.

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Available abstract

A simple infiltration concept based on Horton's infiltration equation has been developed for use in mathematical rainfall-runoff modelling. Horton's infiltration formula is valid only where rainfall intensity at all times exceeds infiltration and, moreover, it does not provide adequately for the handling of a variety of initial soil moisture conditions. In contrast to Horton's concept where infiltration rate is expressed as a decay function of time, the procedure advocated in this paper expresses the infiltration rate as a function of soil moisture storage state. The procedure permits infiltration losses during intermittent rainfall sequences to be evaluated and accommodates a range of initial soil moisture conditions.

Key concepts: Infiltration (HVAC), Geology, Psychology, Environmental science, Geography, Meteorology

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